Geodesic
A general inequality for pointwise semi-slant warped products in nearly Kenmotsu manifolds
Filomat, Tome 36 (2022) no. 1, p. 221

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we prove that every pointwise semi-slant warped product submanifold M = NT× f Nθ in a nearly Kenmotsu manifold M˜ satisfies the following inequality: ‖h‖2 ≥ 2n2 ( 1 + 109 cot 2 θ ) ( ‖∇ˆ(ln f )‖2 − 1 ) , where n2 = dim Nθ, ∇ˆ(ln f ) is the gradient of ln f and ‖h‖ is the length of the second fundamental form of M. The equality and special cases of the inequality are investigated
DOI : 10.2298/FIL2201221U
Classification : 53C15, 53C40, 53C42, 53C25, 53B25
Keywords: warped products, slant, pointwise semi-slant submanifolds, nearly Kenmotsu manifolds 
Siraj Uddin; Ashwaq Altalhi; Nadia Alluhaibi. A general inequality for pointwise semi-slant warped products in nearly Kenmotsu manifolds. Filomat, Tome 36 (2022) no. 1, p. 221 . doi: 10.2298/FIL2201221U
@article{10_2298_FIL2201221U,
     author = {Siraj Uddin and Ashwaq Altalhi and Nadia Alluhaibi},
     title = {A general inequality for pointwise semi-slant warped products in nearly {Kenmotsu} manifolds},
     journal = {Filomat},
     pages = {221 },
     year = {2022},
     volume = {36},
     number = {1},
     doi = {10.2298/FIL2201221U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201221U/}
}
TY  - JOUR
AU  - Siraj Uddin
AU  - Ashwaq Altalhi
AU  - Nadia Alluhaibi
TI  - A general inequality for pointwise semi-slant warped products in nearly Kenmotsu manifolds
JO  - Filomat
PY  - 2022
SP  - 221 
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2201221U/
DO  - 10.2298/FIL2201221U
LA  - en
ID  - 10_2298_FIL2201221U
ER  - 
%0 Journal Article
%A Siraj Uddin
%A Ashwaq Altalhi
%A Nadia Alluhaibi
%T A general inequality for pointwise semi-slant warped products in nearly Kenmotsu manifolds
%J Filomat
%D 2022
%P 221 
%V 36
%N 1
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2201221U/
%R 10.2298/FIL2201221U
%G en
%F 10_2298_FIL2201221U

Cité par Sources :